Further Mathematics 2010 Waec Past Questions and Answers

Question 26 :

• WAEC 2010

P, Q, R, S are points in a plane such that PQ = 8i - 5j, QR = 5i + 7j, RS = 7i + 3j and PS = xi + yj. Find (x, y).

A. (-6, -15)
B. (-6, 5)
C. (20, 5)
D. (20, 15)

Question 27 :

• WAEC 2010

Find the least value of n for which \(^{3n}C_{2} > 0, n \in R\).

A. \(\frac{1}{3}\)
B. \(\frac{1}{6}\)
C. \(\frac{2}{3}\)
D. 1

Question 28 :

• WAEC 2010

If \(\overrightarrow{OA} = 3i + 4j\) and \(\overrightarrow{OB} = 5i - 6j \) where O is the origin and M is the midpoint of AB, find OM.

A. -2i - 10j
B. -2i + 2j
C. 4i - j
D. 4i + j

Question 29 :

• WAEC 2010

Find the direction cosines of the vector \(4i - 3j\).

A. \(\frac{9}{10}, \frac{27}{10}\)
B. \(\frac{17}{27}, -\frac{17}{27}\)
C. \(\frac{4}{5}, -\frac{3}{5}\)
D. \(\frac{4}{7}, \frac{-3}{7}\)

Question 30 :

• WAEC 2010

Yomi was asked to label four seats S, R, P, Q. What is the probability he labelled them in alphabetical order?

A. \(\frac{1}{24}\)
B. \(\frac{1}{6}\)
C. \(\frac{2}{13}\)
D. \(\frac{1}{4}\)